A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to 2/3?

Answers

Answer 1

Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

y = [tex]\frac{2}{3}x+4[/tex] ---------(2)

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.


Related Questions

A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the

Answers

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

What do the interquartile ranges (IQRs) tell you about how the teams race? Explain your thinking.

ILL MARK BRAINLIEST PLS HELPPOP

Answers

Answer:

The medians of all three teams can show the overall skill level of the teams. For example, the medians only vary between 47 and 48. This can show that most team members have around the same experience (since they have around the same median). The red team was the best in terms of time, but they don't vary much from their opposing teams.

Step-by-step explanation:

(Can also add more references to the chart and rank the teams in term of time )

what is this equation simplified as?

Answers

Answer:

-14/25

Step-by-step explanation:

:D

Help or I will die pleaseeeee

Answers

Answer I think and you can't get help on a quiz

I think it should be y= 1/4x + 1

Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined write a system of equations that represents this situation

Answers

Answer:

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Step-by-step explanation:

Giving the following information:

Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined.

We need to establish a system of equations that represents this situation.

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Now, we can determine the x and y:

x= 20 - y

Substitute x:

1.75*(20 - y) + 2.5y = 45

35 - 1.75y + 2.5y = 45

0.75y = 10

y= 13

x= 20 - 13

x= 7

Prove:

1.75*7 + 2.5*13 = 45

7 + 13 = 20

Given the following, find the value of x.
(4x+45)
(5x-18)

Answers

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day

Photos math!Very helpful app!

2.
Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1

Answers

Answer:

2p^2-p + 5/2

Step-by-step explanation:

Here, we want to use long division method

Please check attachment for the long division process

According to the long division, the answer is

2p^2-p + 5/2

To check the answer, we multiply the binomial by the result of the division

That will be;

(2p-1)(2p^2-p + 5/2)

= 4p^3-2p^2+5p-2p^2+p-5/2

= 4p^3-2p^2-2p^2+5p+p-5/2

= 4p^3-4p^2+ 6p - 5/2

we then conclude that our answer is correct

What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)

Answers

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!

The measure of an arc is 95°. What is the measure of an inscribed angle that intercepts it?

Answers

It could be 190 because its a half measure                    

It could be 47.5 because the inscribed angle might be within the arc itself.

What is the equivalent of 6x - 12 ?

Answers

3x-6 , it’s basically simplified

Answer:

6(x−2)

Step-by-step explanation:

Factor 6x−12

6x−12

=6(x−2)

HELP ASAP PLEASE!!
what is the distance (in units) between points C and D? round your answer to the nearest hundredth.

1) 4.54 units
2) 5.00 units
3) 5.83 units
4) 34.00 units

Answers

Answer:

2

Step-by-step explanation:

It’s 5, just count the numbers lol

I need help on this question

Answers

The answer I think is36

Answer:

X^2+13x+40=area

Step-by-step explanation:

So its

(x+8)*(x+5)

Now solve

Use FOIL

x^2+5x+8x+40

Now combine

x^2+13x+40

There you have it

Which equation represents the pattern in the table?

Answers

you can’t see the pattern in the table, you only took a picture of two of the answer choices

What are the coordinates for point a?

Answers

Answer:

2,3

Step-by-step explanation:

Answer:

(2,3) if the distance between each line is 1.

Step-by-step explanation:

The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2​, what are the measures of the base and the​ height?

Answers

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

15 pointsss

The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?

A. $200
B. $87.50
C. $250
D. $350

Answers

The answer to this question is option B

PLEASE HELP FAST ( i will give brainliest)

Answers

Answer:

Step-by-step explanation:

60+30=90

180-90=90

60+30+90=180

so the x is 90

Answer:

x=3.5 if rounded if not than 3.4

Step-by-step explanation:

) 1
es
Penny deposits $74 into her bank account. This puts her balance at $225. How much money did Penny have in hel Dan
account before her deposit?
$225 = $74+ m
2
dar
m = $
type your answer...
3
OX

Answers

Answer:

$151

Step-by-step explanation:

225 = 74 + m

- subtract 74 from both sides

225-74 = 74-74 +m

1. 151 = 74 - 74 + m

2. 151 = 0 + m

the 0 is irrelevant so you can remove it and you get

151 = m

the correct way to write it would be:

m = 151

Answer:

150 ________//_/___________///////


Please helpoppplllll mei need to complete this I will give brainly

Answers

Answer:

(5,-6) I think

Step-by-step explanation:

 this one is really hard

Answers

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Can somebody please help me? I will give brainliest!

Answers

Answer: -2.5f-16

Step-by-step explanation: Good luck! :D

Answer:

-2.5f-16 is your answer and you'll get it correct

Step-by-step explanation:

trust me :)

At a sale, dresses were sold for $24 each. This price was 12% of a dress's original price. How much did a dress originally cost?

Answers

Answer:

$200

Step-by-step explanation

24/0.12

=200

Sorry if its wrong :(

How do you solve this? 35=y-6

Answers

Answer:

Rewrite the equation as y−6=35 .

y−6=35

Move all terms not containing y to the right side of the equation.

y=41

Step-by-step explanation:

Mary Jane scored 85% on her last test. There were 60 questions on the test. How many questions did she get correct? Show your work

PLEASE HELP ME

Answers

Answer: Mary Jane got 51 questions correct.

Step-by-step explanation: x/60 and 85/100. Multiply 60 and 85. When you get your answer, divide it by 100. It should give you the answer.

PLEASE PLEASE HELP ME

Answers

Answer:

length = 3√5

distance = √13

Step-by-step explanation:

length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]

length = √ 3²+6²

=√9+36

=√45=3√5

distance

d = √(x1-x2)²+(y1-y2)²

d= √(5-3)² + (-2-1)²

d=√2²+(-3)²

d=√4+9

d=√13

I need help, I don't quite understand

Answers

Answer:

1

Step-by-step explanation:

so we have:

f+2>5 2 goes the other side, so

f>5-2

f>3

f+4<9 4 goes to the other side, so

f<9-4

f<5

we have two inequality

f>3

f<5

f belongs (3,5), we have only one value for this, it is 4

F can be equal to both 1 and 2. Reason why: If you input 1 or 2 to replace f on either inequality, it will never be greater than or equal to 5 or 9.

Why do I keep struggling in geometry. I'm in 10th grade I shouldn't be struggling but anyway my teacher let me retake a quiz/ test and I made the exact same score. So I have no clue what to do.

Answers

Step-by-step explanation:

I don't know what you need to do. Have you studied the quiz or more specific have you studied the questions that you have problems with? Also make sure you have enough sleep and have healthy food. You don't have to do read what I say(type) but it could help you.

Answer:

yeah, Geometry is not that easy. I struggled a bit in Geometry, too. You have to study a lot. Im an Algebra person im good with equations. Geometry has to many rules and theorems and other stuff you need to remember. Try studying. If you Need help you can comment for help and i will try to help you with what i can.  Im in 10th grade but i have Algebra 2. Also, i have a Geometry book with other stuff, etc... I'll be glad to help you if i can.

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer:  p=122

Step-by-step explanation:

Answer:

P = 112

see in the picture, MNPQ is a parallelogram

=> M = P

<=> 6x - 2 = 4x + 36

<=> 2x = 38

<=> x = 19

with x = 19 => P = 4.19 + 36 = 112⁰

Can someone pls help with this ill mark u brainliest

Answers

Answer:

Use the linear pair axiom

answer will be 35 degrees

GRAPH MATH PROBLEM PLEASE HELP!!

Answers

Answer: vertex:(3,5)

y intercept: (0,-4)

Step-by-step explanation:

3,5?????????????????????
Other Questions
how can paper that has already been used be physically changed Which statement best describes American attitudes toward France during the 1790s? Refer to the map of Eurasia on page 626 in your text to answer this question.Which modern country was part of the Persian Empire?A.EgyptB.GreeceC.RussiaD.China The graph shows a proportional relationship between the number of hours an employee works and the amount of money earned in that time.PART AComplete the statement to describe the meaning of the point shown on the graph. Answer: The employee makes $____________ in _____________ hours(s). PART BComplete the equation that represents this situation.Answer: y=_________ can somebody help me with my English plz I have to read a story n answer questions asap I asked many times and havent gotten help Which equation represents the line shown in the graph?5.4321-6 -5 -4 -3 -2 -1 024 56-2-3-4-5-6 Help Is it worth saving lives despite the cost to the economy? Divide 320 in the ratio 3:5 ~Please ~ help ~ me ~ out ~ I ~ don't ~ understand ~ the ~ question ~ and ~ if ~ you ~ can ~ explain ~ it ~ please ~ explain ~ .~ ( ~ `)/A circular garden has a radius of 8 feet. What is the circumference of the garden? When traveling, judging the date ofarrival can be difficult for locationsA. close to the Date LineB. near the EquatorC. near the Prime MeridianD. during the summer i will give you brainliest if u are right help asap Byron earned some money mowing the neighbor's lawn. He spent one-fourth of his money to see a movie. Then he spent $6.00 on popcorn and drinks. When he went home, he had $24.00 left. How much did Byron earn mowing the neighbor's lawn? Byron earned $ .00 mowing the neighbor's lawn. help me pleasee ill give brainliest Write fraction or mixed number as decimal 27/75 all light is the same whether it comes from the sun a light bulb or anywhere do you agree with this statement explain Which of the following is true about "The Hobbit"? A. It has all of the components of the Hero's Journey?B. It follows the Hero's Journey except for having a "Supreme Ordeal."C. It follows a structure other than the one described by Campbell.D. It is not considered a Hero's Journey as Bilbo doesn't save anyone. Why do you think the different heating process result in different softness or hardness of the steel? Think about what steel is made of and how the atoms move . 14) Find the slope of the line containing the points (5, 3) and (-7, 2).A. 52B. 112C. -4D. 12 Please solve this problemDeanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest. Write an equation that relates the total slices of pizza, T, to the number of guest, g.Thanks Our Suns mass is 1.0 and our Earths mass is 2.0. The distance is standard as given on the simulation. Describe the path of the Earth.